On pairwise sensitive homeomorphisms

Details On pairwise sensitive homeomorphisms On pairwise sensitive homeomorphisms

2011-10-25

arxiv.org/abs/1110.5612v1

Mathematics

Dynamical Systems

9 pages

Scientific paper

We obtain properties of the pairwise sensitive homeomorphisms defined in \cite{cj}. For instance, we prove that their sets of points with converging semi-orbits have measure zero, that such homeomorphisms do not exist in a compact interval and, in the circle, they are the Denjoy ones. Applications including alternative proofs of well-known facts in expansive systems are given.

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